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Finding the Fourth Proportional to 446,744.59, 670,199.90 and 147,246.21

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Solution

The fourth proportional to 446,744.59, 670,199.90 and 147,246.21 is: 220,896.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,744.59 : 670,199.90 = 147,246.21 : x
  2. Step 2: Convert to fraction form
    446,744.59/670,199.90 = 147,246.21/x
  3. Step 3: Cross multiply
    446,744.59x = 670,199.90 × 147,246.21
  4. Step 4: Simplify right side
    446,744.59x = 98,684,395,217.38
  5. Step 5: Solve for x
    x = 98,684,395,217.38/446,744.59
  6. Step 6: Final answer
    x = 220,896.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.